We study the optimal single-step coarse toll design problem for the bottleneck model where
the toll level and tolling duration have maximum acceptable upper bounds and the …

Considering heterogeneous values of time and schedule delay early, in this paper we
develop an ordinary differential equation formulation of the bottleneck model without …

This paper studies the optimal multi-step toll design problem for the bottleneck model with
general user heterogeneity. The design model is formulated as a mathematical program with …

The optimal time-varying tolling is cumbersome for practical implementation due to the
incomplete knowledge of toll determination and high costs for toll collection. Alternatively, a …

In most dynamic traffic congestion models, congestion tolls must vary continuously over time
to achieve the full optimum. This is also the case in Vickrey's (1969)'bottleneck model'. To …

This paper analyses optimal coarse tolling of congestion under heterogeneous preferences,
and in particular its welfare and distributional effects. With coarse tolling, the toll equals a …

We consider toll systems designed to alleviate queueing problems that result from a road
bottleneck. Optimal road pricing is capable of eliminating queueing time completely, but has …

This paper addresses the toll design problem of finding the toll locations and levels in a
congestion pricing scheme, which minimize the total travel time and the toll-point cost (set …

Abstract· The optimal step toll mechanism is a representative flexible toll scheme for the
bottleneck model in the field of transport economics. However, no information about the …

In most dynamic traffic congestion models, congestion tolls must vary continuously over time
to achieve the full optimum. This is also the case in Vickrey (1969)'bottleneck model'. To …